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Finding the Fourth Proportional to 82,089.19, 113,272.03 and 47,633.01

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Solution

The fourth proportional to 82,089.19, 113,272.03 and 47,633.01 is: 65,727.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,089.19 : 113,272.03 = 47,633.01 : x
  2. Step 2: Convert to fraction form
    82,089.19/113,272.03 = 47,633.01/x
  3. Step 3: Cross multiply
    82,089.19x = 113,272.03 × 47,633.01
  4. Step 4: Simplify right side
    82,089.19x = 5,395,487,372.48
  5. Step 5: Solve for x
    x = 5,395,487,372.48/82,089.19
  6. Step 6: Final answer
    x = 65,727.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.